Domain and Range

Front

What is the definition of Domain in a function?

Back

The set of all possible input values (x-values) for which the function is defined.

Front

What is the definition of Range in a function?

Back

The set of all possible output values (y-values) that a function can produce.

Front

How do you find the Domain of a graph?

Back

By reading the graph from left to right and identifying the x-values that the graph covers.

Front

How do you find the Range of a graph?

Back

By reading the graph from bottom to top and identifying the y-values that the graph covers.

Front

What is the Domain of the function f(x) = 1/x?

Back

(-∞, 0) U (0, ∞) because x cannot be zero.

Front

What is the Range of the function f(x) = x^2?

Back

[0, ∞) because the output is always non-negative.

Front

What is the Domain of the function f(x) = √(x-1)?

Back

[1, ∞) because the expression under the square root must be non-negative.

Front

What is the Range of the function f(x) = -x?

Back

(-∞, ∞) because it can take any real number as output.

Front

If a graph has endpoints at x = -2 and x = 3, what is the Domain?

Back

[-2, 3] because it includes all x-values from -2 to 3.

Front

If a graph has a minimum y-value of -5 and no maximum, what is the Range?

Back

[-5, ∞) because it starts at -5 and goes up indefinitely.